[tex]a) \frac{4 \frac{1}{2} }{3} = \frac{0.5}{x} [/tex]
[tex] \frac{ \frac{4 \times 2 + 1}{2} }{3} = \frac{ \frac{5}{10} }{x} [/tex]
[tex] \frac{ \frac{9}{2} }{3} = \frac{ \frac{1}{2} }{x} [/tex]
[tex] \frac{9}{2} \times \frac{1}{3} = \frac{1}{2} \times \frac{1}{x} [/tex]
[tex] \frac{3}{2} = \frac{1}{2x} [/tex]
[tex]3 \times 2x = 2 \times 1[/tex]
[tex]6x = 2[/tex]
[tex]x = \frac{2}{6} [/tex]
[tex]x = \frac{1}{3} [/tex]
[tex]b) \frac{x + 1}{x + 3} = \frac{4}{5} [/tex]
[tex]5(x + 1) = 4(x + 3)[/tex]
[tex]5x + 5 = 4x + 12[/tex]
[tex]5x - 4x = 12 - 5[/tex]
[tex]x = 7[/tex]
